Скачать или смотреть Random Variables in Risk Management | Discrete, Continuous, PMF, CDF, Moments & Applications

Random variables are the foundation of modern financial risk management. They allow us to convert uncertainty into measurable numbers, making it possible to model, price, and manage risk.

Link to the PPT presentation: https://riskcorner.gumroad.com/l/rand...

In this episode of Risk Manager’s Corner, we dive deep into random variables and their applications in finance, insurance, and investment risk. This is a must-watch for FRM candidates, CFA students, actuaries, and risk professionals who want to master probability at a practical level.

👉 What You’ll Learn:

What random variables are and why they matter in risk management

Discrete vs continuous random variables

Probability Mass Function (PMF) and Cumulative Distribution Function (CDF)

Expectations and why they’re the workhorse of financial modeling

Moments: mean, variance, skewness, and kurtosis explained with examples

Jensen’s Inequality and convexity in risk

Transformations of random variables

Quantiles and robust measures of risk

Probability Density Functions (PDFs) and continuous distributions

How random variables underpin Value-at-Risk (VaR), stress testing, and systemic risk models